$3.$Conaider the grammer G$=($V$,,$R$,$S$)$ whereV$=\{$S$,$A$,$B$\}=\{$a$,$b$\}$R$=\{$s$-$aAA$-$aA$-$BB$-$bB$\}$B$-$e $\}$Answers the following questions and provide a brief explanation for each answer.$($a$)$ is ab e L$($G$)?($b$)$ is aabbb e L$($G$)?($d$)$ What are the first three strings in L$($G$)$ in lexicography order?$($e$)$ ls L$($G$)$ finite?